TSTP Solution File: ARI340_1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI340_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 10:35:05 EDT 2024
% Result : Theorem 0.08s 0.30s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 26 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 9 ~; 3 |; 4 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 47 ( 10 atm; 7 fun; 26 num; 4 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $rat ).
tff(f28,plain,
$false,
inference(avatar_sat_refutation,[],[f24,f27]) ).
tff(f27,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f26]) ).
tff(f26,plain,
( $false
| spl1_1 ),
inference(evaluation,[],[f25]) ).
tff(f25,plain,
( ~ $less(15/2,77/10)
| spl1_1 ),
inference(forward_demodulation,[],[f23,f19]) ).
tff(f19,plain,
sK0 = 77/10,
inference(evaluation,[],[f17]) ).
tff(f17,plain,
$sum(29/10,24/5) = sK0,
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ~ $less(15/2,sK0)
& ( $sum(29/10,24/5) = sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).
tff(f15,plain,
( ? [X0: $rat] :
( ~ $less(15/2,X0)
& ( $sum(29/10,24/5) = X0 ) )
=> ( ~ $less(15/2,sK0)
& ( $sum(29/10,24/5) = sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f14,plain,
? [X0: $rat] :
( ~ $less(15/2,X0)
& ( $sum(29/10,24/5) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $sum(29/10,24/5) = X0 )
=> $less(15/2,X0) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $sum(29/10,24/5) = X0 )
=> $less(15/2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_combined_problem_6) ).
tff(f23,plain,
( ~ $less(15/2,sK0)
| spl1_1 ),
inference(avatar_component_clause,[],[f21]) ).
tff(f21,plain,
( spl1_1
<=> $less(15/2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f24,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f18,f21]) ).
tff(f18,plain,
~ $less(15/2,sK0),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : ARI340_1 : TPTP v8.1.2. Released v5.0.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.29 % Computer : n032.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue Apr 30 05:39:51 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % (977)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.30 % (979)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.08/0.30 % (983)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.08/0.30 % (979)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.08/0.30 % (979)Terminated due to inappropriate strategy.
% 0.08/0.30 % (979)------------------------------
% 0.08/0.30 % (979)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.08/0.30 % (979)Termination reason: Inappropriate
% 0.08/0.30
% 0.08/0.30 % (979)Memory used [KB]: 722
% 0.08/0.30 % (979)Time elapsed: 0.001 s
% 0.08/0.30 % (979)Instructions burned: 2 (million)
% 0.08/0.30 % (979)------------------------------
% 0.08/0.30 % (979)------------------------------
% 0.08/0.30 % (982)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.08/0.30 % (983)First to succeed.
% 0.08/0.30 % (982)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.08/0.30 % (982)Terminated due to inappropriate strategy.
% 0.08/0.30 % (982)------------------------------
% 0.08/0.30 % (982)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.08/0.30 % (982)Termination reason: Inappropriate
% 0.08/0.30
% 0.08/0.30 % (982)Memory used [KB]: 722
% 0.08/0.30 % (982)Time elapsed: 0.001 s
% 0.08/0.30 % (982)Instructions burned: 2 (million)
% 0.08/0.30 % (982)------------------------------
% 0.08/0.30 % (982)------------------------------
% 0.08/0.30 % (983)Refutation found. Thanks to Tanya!
% 0.08/0.30 % SZS status Theorem for theBenchmark
% 0.08/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.30 % (983)------------------------------
% 0.08/0.30 % (983)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.08/0.30 % (983)Termination reason: Refutation
% 0.08/0.30
% 0.08/0.30 % (983)Memory used [KB]: 749
% 0.08/0.30 % (983)Time elapsed: 0.002 s
% 0.08/0.30 % (983)Instructions burned: 3 (million)
% 0.08/0.30 % (983)------------------------------
% 0.08/0.30 % (983)------------------------------
% 0.08/0.30 % (977)Success in time 0.009 s
%------------------------------------------------------------------------------